Nullstellensatz

English

Etymology

Borrowed from German Nullstellensatz.

Noun

Nullstellensatz

  1. (mathematics) A theorem that establishes a fundamental relationship between geometry and algebra by relating algebraic sets to ideals in polynomial rings over algebraically closed fields.

German

Etymology

Nullstelle (“zero, root”) +‎ -n- +‎ Satz (“theorem”).

Noun

Nullstellensatz m (strong, genitive Nullstellensatzes, plural Nullstellensätze)

  1. (mathematics) Nullstellensatz

Declension

Declension of Nullstellensatz [masculine, strong]
singular plural
indef. def. noun def. noun
nominative ein der Nullstellensatz die Nullstellensätze
genitive eines des Nullstellensatzes der Nullstellensätze
dative einem dem Nullstellensatz, Nullstellensatze1 den Nullstellensätzen
accusative einen den Nullstellensatz die Nullstellensätze

1Now rare, see notes.

Further reading

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